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Finding the Fourth Proportional to 30,975.64, 42,747.22 and 18,229.72

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Solution

The fourth proportional to 30,975.64, 42,747.22 and 18,229.72 is: 25,157.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,975.64 : 42,747.22 = 18,229.72 : x
  2. Step 2: Convert to fraction form
    30,975.64/42,747.22 = 18,229.72/x
  3. Step 3: Cross multiply
    30,975.64x = 42,747.22 × 18,229.72
  4. Step 4: Simplify right side
    30,975.64x = 779,269,851.38
  5. Step 5: Solve for x
    x = 779,269,851.38/30,975.64
  6. Step 6: Final answer
    x = 25,157.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.